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Finding the Third Proportional to 45,426 and 96,045

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Solution

The third proportional to 45,426 and 96,045 is: 203,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,426 : 96,045 = 96,045 : x
  2. Step 2: Convert to fraction form
    45,426/96,045 = 96,045/x
  3. Step 3: Cross multiply
    45,426x = 96,045 × 96,045
  4. Step 4: Simplify right side
    45,426x = 9,224,642,025
  5. Step 5: Solve for x
    x = 9,224,642,025/45,426
  6. Step 6: Final answer
    x = 203,069.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.